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Book Review

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Book Information:

Author: Anthony W. Knapp
Title: Lie groups: Beyond an introduction
Additional book information: Birkhäuser, Boston, MA, 1996, xv+604 pp., ISBN 3-7643-3926-8, $49.50$

References [Enhancements On Off] (What's this?)

  • J. Frank Adams, Lectures on Lie groups, W. A. Benjamin, Inc., New York-Amsterdam, 1969. MR 0252560
  • Theodor Bröcker and Tammo tom Dieck, Representations of compact Lie groups, Graduate Texts in Mathematics, vol. 98, Springer-Verlag, New York, 1985. MR 781344
  • É. Cartan, La Théorie des Groupes Finis et Continus et l'Analysis Situs, Gauthier-Villars, Paris, 1930. C. Chevalley, Theory of Lie Groups, Princeton University Press, Princeton, New Jersey, 1946. MR 7:412c; MR 18:583c
  • Sigurdur Helgason, Differential geometry, Lie groups, and symmetric spaces, Pure and Applied Mathematics, vol. 80, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York-London, 1978. MR 514561
  • James E. Humphreys, Introduction to Lie algebras and representation theory, Springer-Verlag, New York-Berlin, 1972. Graduate Texts in Mathematics, Vol. 9. MR 0323842
  • L. Pontrjagin, Topological Groups, Princeton University Press, Princeton, New Jersey, 1939, translated by E. Lehmer.
  • Jean-Pierre Serre, Algèbres de Lie semi-simples complexes, W. A. Benjamin, inc., New York-Amsterdam, 1966 (French). MR 0215886
  • V. S. Varadarajan, Lie groups, Lie algebras, and their representations, Graduate Texts in Mathematics, vol. 102, Springer-Verlag, New York, 1984. Reprint of the 1974 edition. MR 746308
  • Nolan R. Wallach, Real reductive groups. I, Pure and Applied Mathematics, vol. 132, Academic Press, Inc., Boston, MA, 1988. MR 929683
  • Garth Warner, Harmonic analysis on semi-simple Lie groups. I, Springer-Verlag, New York-Heidelberg, 1972. Die Grundlehren der mathematischen Wissenschaften, Band 188. MR 0498999
  • D. P. Zhelobenko, Kompaktnye gruppy Li i ikh predstavleniya, Izdat. “Nauka”, Moscow, 1970 (Russian). MR 0473097


Review Information:

Reviewer: David A. Vogan, Jr.
Affiliation: Massachusetts Institute of Technology
Email: dav@math.mit.edu
Journal: Bull. Amer. Math. Soc. 36 (1999), 493-498
DOI: https://doi.org/10.1090/S0273-0979-99-00790-9
Published electronically: June 21, 1999
Review copyright: © Copyright 1999 American Mathematical Society